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Simplifying 5(c + -3)(c + -3) = 0 Reorder the terms: 5(-3 + c)(c + -3) = 0 Reorder the terms: 5(-3 + c)(-3 + c) = 0 Multiply (-3 + c) * (-3 + c) 5(-3(-3 + c) + c(-3 + c)) = 0 5((-3 * -3 + c * -3) + c(-3 + c)) = 0 5((9 + -3c) + c(-3 + c)) = 0 5(9 + -3c + (-3 * c + c * c)) = 0 5(9 + -3c + (-3c + c2)) = 0 Combine like terms: -3c + -3c = -6c 5(9 + -6c + c2) = 0 (9 * 5 + -6c * 5 + c2 * 5) = 0 (45 + -30c + 5c2) = 0 Solving 45 + -30c + 5c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5'. 5(9 + -6c + c2) = 0 Factor a trinomial. 5((3 + -1c)(3 + -1c)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {3, 3}
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